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859 orbits; showing 501โ€“600 ยท JSON

LabelDimTrace formSignCMCurve
960.2.a.l1q+q3โˆ’q5+O(q8)q + q^{3} - q^{5} + O(q^{8})960g1 rank 0
960.2.a.m1q+q3+q5โˆ’4q7+O(q8)q + q^{3} + q^{5} - 4q^{7} + O(q^{8})960h1 rank 1
960.2.a.n1q+q3+q5โˆ’4q7+O(q8)q + q^{3} + q^{5} - 4q^{7} + O(q^{8})960p1 rank 0
960.2.a.o1q+q3+q5+O(q8)q + q^{3} + q^{5} + O(q^{8})960n1 rank 0
960.2.a.p1q+q3+q5+4q7+O(q8)q + q^{3} + q^{5} + 4q^{7} + O(q^{8})960o1 rank 0
961.2.a.a22qโˆ’2q2โˆ’2q3+2q4+2q5+6q6+2q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} + 2q^{5} + 6q^{6} + 2q^{7} + O(q^{8})
961.2.a.b22qโˆ’2q2โˆ’2q4+8q7+O(q8)2q - 2q^{2} - 2q^{4} + 8q^{7} + O(q^{8})
961.2.a.c22qโˆ’2q2+2q3+2q4+2q5โˆ’6q6+2q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} + 2q^{5} - 6q^{6} + 2q^{7} + O(q^{8})
961.2.a.d22q+q2โˆ’2q3โˆ’q4โˆ’3q5โˆ’q6+6q7+O(q8)2q + q^{2} - 2q^{3} - q^{4} - 3q^{5} - q^{6} + 6q^{7} + O(q^{8})
961.2.a.e22q+q2+2q3โˆ’q4โˆ’3q5+q6+6q7+O(q8)2q + q^{2} + 2q^{3} - q^{4} - 3q^{5} + q^{6} + 6q^{7} + O(q^{8})
961.2.a.f22q+q2+2q3โˆ’q4+2q5+6q6โˆ’4q7+O(q8)2q + q^{2} + 2q^{3} - q^{4} + 2q^{5} + 6q^{6} - 4q^{7} + O(q^{8})
961.2.a.g33q+6q4+O(q8)3q + 6q^{4} + O(q^{8})Q(โˆ’31)\mathbb{Q}(\sqrt{-31})
961.2.a.h44q+6q2+6q4โˆ’4q7+O(q8)4q + 6q^{2} + 6q^{4} - 4q^{7} + O(q^{8})
961.2.a.i88q+2q2โˆ’3q3+8q4+3q5โˆ’11q6โˆ’2q7+O(q8)8q + 2q^{2} - 3q^{3} + 8q^{4} + 3q^{5} - 11q^{6} - 2q^{7} + O(q^{8})
961.2.a.j88q+2q2+3q3+8q4+3q5+11q6โˆ’2q7+O(q8)8q + 2q^{2} + 3q^{3} + 8q^{4} + 3q^{5} + 11q^{6} - 2q^{7} + O(q^{8})
961.2.a.k1212q+16q4+8q5+8q7+O(q8)12q + 16q^{4} + 8q^{5} + 8q^{7} + O(q^{8})
961.2.a.l1616qโˆ’8q2+8q4โˆ’16q5โˆ’16q7+O(q8)16q - 8q^{2} + 8q^{4} - 16q^{5} - 16q^{7} + O(q^{8})
962.2.a.a1q+q2+q4+2q5โˆ’2q7+O(q8)q + q^{2} + q^{4} + 2q^{5} - 2q^{7} + O(q^{8})+1+1962a1 rank 0
962.2.a.b22q+2q2โˆ’q3+2q4โˆ’2q5โˆ’q6โˆ’5q7+O(q8)2q + 2q^{2} - q^{3} + 2q^{4} - 2q^{5} - q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
962.2.a.c22q+2q2โˆ’q3+2q4โˆ’2q5โˆ’q6โˆ’3q7+O(q8)2q + 2q^{2} - q^{3} + 2q^{4} - 2q^{5} - q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
962.2.a.d22q+2q2+q3+2q4โˆ’6q5+q6+5q7+O(q8)2q + 2q^{2} + q^{3} + 2q^{4} - 6q^{5} + q^{6} + 5q^{7} + O(q^{8})+1+1
962.2.a.e33qโˆ’3q2โˆ’3q3+3q4+2q5+3q6โˆ’5q7+O(q8)3q - 3q^{2} - 3q^{3} + 3q^{4} + 2q^{5} + 3q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
962.2.a.f44qโˆ’4q2โˆ’3q3+4q4+3q6โˆ’9q7+O(q8)4q - 4q^{2} - 3q^{3} + 4q^{4} + 3q^{6} - 9q^{7} + O(q^{8})โˆ’1-1
962.2.a.g44q+4q2+q3+4q4+8q5+q6+3q7+O(q8)4q + 4q^{2} + q^{3} + 4q^{4} + 8q^{5} + q^{6} + 3q^{7} + O(q^{8})+1+1
962.2.a.h55qโˆ’5q2+5q4โˆ’2q5+6q7+O(q8)5q - 5q^{2} + 5q^{4} - 2q^{5} + 6q^{7} + O(q^{8})+1+1
962.2.a.i55qโˆ’5q2+5q4+2q5+10q7+O(q8)5q - 5q^{2} + 5q^{4} + 2q^{5} + 10q^{7} + O(q^{8})+1+1
962.2.a.j77q+7q2+6q3+7q4+4q5+6q6+8q7+O(q8)7q + 7q^{2} + 6q^{3} + 7q^{4} + 4q^{5} + 6q^{6} + 8q^{7} + O(q^{8})+1+1
963.2.a.a22q+q2โˆ’q4โˆ’2q5โˆ’4q7+O(q8)2q + q^{2} - q^{4} - 2q^{5} - 4q^{7} + O(q^{8})
963.2.a.b22q+q2โˆ’q4+3q5โˆ’4q7+O(q8)2q + q^{2} - q^{4} + 3q^{5} - 4q^{7} + O(q^{8})
963.2.a.c22q+q2โˆ’q4+6q5โˆ’2q7+O(q8)2q + q^{2} - q^{4} + 6q^{5} - 2q^{7} + O(q^{8})
963.2.a.d66qโˆ’3q2+7q4โˆ’6q5+O(q8)6q - 3q^{2} + 7q^{4} - 6q^{5} + O(q^{8})
963.2.a.e77q+14q4+8q5+6q7+O(q8)7q + 14q^{4} + 8q^{5} + 6q^{7} + O(q^{8})
963.2.a.f77q+q2+7q4โˆ’5q5+4q7+O(q8)7q + q^{2} + 7q^{4} - 5q^{5} + 4q^{7} + O(q^{8})
963.2.a.g99qโˆ’3q2+9q4โˆ’14q5+O(q8)9q - 3q^{2} + 9q^{4} - 14q^{5} + O(q^{8})
963.2.a.h99q+3q2+9q4+14q5+O(q8)9q + 3q^{2} + 9q^{4} + 14q^{5} + O(q^{8})
964.2.a.a1qโˆ’2q3+q5+q7+O(q8)q - 2q^{3} + q^{5} + q^{7} + O(q^{8})964a1 rank 0
964.2.a.b77qโˆ’q3โˆ’8q5+q7+O(q8)7q - q^{3} - 8q^{5} + q^{7} + O(q^{8})
964.2.a.c1212q+5q3+11q5+O(q8)12q + 5q^{3} + 11q^{5} + O(q^{8})
965.2.a.a1q+q2โˆ’q4โˆ’q5+4q7+O(q8)q + q^{2} - q^{4} - q^{5} + 4q^{7} + O(q^{8})+1+1965a1 rank 0
965.2.a.b22q+q2โˆ’q3+3q4+2q5โˆ’7q6โˆ’3q7+O(q8)2q + q^{2} - q^{3} + 3q^{4} + 2q^{5} - 7q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
965.2.a.c88qโˆ’2q2โˆ’6q3โˆ’2q4+8q5+4q6โˆ’3q7+O(q8)8q - 2q^{2} - 6q^{3} - 2q^{4} + 8q^{5} + 4q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
965.2.a.d1212qโˆ’q2โˆ’7q3+3q4โˆ’12q5+q6โˆ’6q7+O(q8)12q - q^{2} - 7q^{3} + 3q^{4} - 12q^{5} + q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
965.2.a.e2020q+3q2+11q3+31q4โˆ’20q5โˆ’q6+10q7+O(q8)20q + 3q^{2} + 11q^{3} + 31q^{4} - 20q^{5} - q^{6} + 10q^{7} + O(q^{8})+1+1
965.2.a.f2222q+q2+7q3+33q4+22q5+7q6+6q7+O(q8)22q + q^{2} + 7q^{3} + 33q^{4} + 22q^{5} + 7q^{6} + 6q^{7} + O(q^{8})+1+1
966.2.a.a1qโˆ’q2โˆ’q3+q4โˆ’4q5+q6+q7+O(q8)q - q^{2} - q^{3} + q^{4} - 4q^{5} + q^{6} + q^{7} + O(q^{8})โˆ’1-1966d1 rank 1
966.2.a.b1qโˆ’q2โˆ’q3+q4โˆ’2q5+q6โˆ’q7+O(q8)q - q^{2} - q^{3} + q^{4} - 2q^{5} + q^{6} - q^{7} + O(q^{8})โˆ’1-1966a1 rank 1
966.2.a.c1qโˆ’q2โˆ’q3+q4+2q5+q6+q7+O(q8)q - q^{2} - q^{3} + q^{4} + 2q^{5} + q^{6} + q^{7} + O(q^{8})โˆ’1-1966c1 rank 1
966.2.a.d1qโˆ’q2โˆ’q3+q4+3q5+q6+q7+O(q8)q - q^{2} - q^{3} + q^{4} + 3q^{5} + q^{6} + q^{7} + O(q^{8})+1+1966b1 rank 0
966.2.a.e1qโˆ’q2+q3+q4โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} + q^{4} - q^{6} - q^{7} + O(q^{8})โˆ’1-1966e1 rank 1
966.2.a.f1qโˆ’q2+q3+q4โˆ’q6+q7+O(q8)q - q^{2} + q^{3} + q^{4} - q^{6} + q^{7} + O(q^{8})+1+1966f1 rank 0
966.2.a.g1q+q2โˆ’q3+q4โˆ’2q5โˆ’q6+q7+O(q8)q + q^{2} - q^{3} + q^{4} - 2q^{5} - q^{6} + q^{7} + O(q^{8})โˆ’1-1966g1 rank 1
966.2.a.h1q+q2โˆ’q3+q4+q5โˆ’q6+q7+O(q8)q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + q^{7} + O(q^{8})+1+1966h1 rank 0
966.2.a.i1q+q2+q3+q4โˆ’3q5+q6+q7+O(q8)q + q^{2} + q^{3} + q^{4} - 3q^{5} + q^{6} + q^{7} + O(q^{8})+1+1966k1 rank 0
966.2.a.j1q+q2+q3+q4โˆ’2q5+q6โˆ’q7+O(q8)q + q^{2} + q^{3} + q^{4} - 2q^{5} + q^{6} - q^{7} + O(q^{8})+1+1966i1 rank 0
966.2.a.k1q+q2+q3+q4+3q5+q6โˆ’q7+O(q8)q + q^{2} + q^{3} + q^{4} + 3q^{5} + q^{6} - q^{7} + O(q^{8})+1+1966j1 rank 0
966.2.a.l22qโˆ’2q2โˆ’2q3+2q4+q5+2q6โˆ’2q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} + q^{5} + 2q^{6} - 2q^{7} + O(q^{8})+1+1
966.2.a.m22qโˆ’2q2+2q3+2q4โˆ’q5โˆ’2q6โˆ’2q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} - q^{5} - 2q^{6} - 2q^{7} + O(q^{8})+1+1
966.2.a.n22qโˆ’2q2+2q3+2q4+q5โˆ’2q6+2q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} + q^{5} - 2q^{6} + 2q^{7} + O(q^{8})+1+1
966.2.a.o22q+2q2โˆ’2q3+2q4โˆ’3q5โˆ’2q6โˆ’2q7+O(q8)2q + 2q^{2} - 2q^{3} + 2q^{4} - 3q^{5} - 2q^{6} - 2q^{7} + O(q^{8})+1+1
966.2.a.p22q+2q2+2q3+2q4+4q5+2q6+2q7+O(q8)2q + 2q^{2} + 2q^{3} + 2q^{4} + 4q^{5} + 2q^{6} + 2q^{7} + O(q^{8})+1+1
967.2.a.a3535qโˆ’12q2โˆ’11q3+32q4โˆ’27q5โˆ’6q6โˆ’12q7+O(q8)35q - 12q^{2} - 11q^{3} + 32q^{4} - 27q^{5} - 6q^{6} - 12q^{7} + O(q^{8})โˆ’1-1
967.2.a.b4545q+11q2+11q3+47q4+27q5+4q7+O(q8)45q + 11q^{2} + 11q^{3} + 47q^{4} + 27q^{5} + 4q^{7} + O(q^{8})+1+1
968.2.a.a1qโˆ’3q3โˆ’3q5+2q7+O(q8)q - 3q^{3} - 3q^{5} + 2q^{7} + O(q^{8})968e1 rank 1
968.2.a.b1q+3q5โˆ’4q7+O(q8)q + 3q^{5} - 4q^{7} + O(q^{8})968d1 rank 1
968.2.a.c1q+3q5+4q7+O(q8)q + 3q^{5} + 4q^{7} + O(q^{8})968b1 rank 0
968.2.a.d1q+q3+q5โˆ’4q7+O(q8)q + q^{3} + q^{5} - 4q^{7} + O(q^{8})968a1 rank 1
968.2.a.e1q+q3+q5+4q7+O(q8)q + q^{3} + q^{5} + 4q^{7} + O(q^{8})968c1 rank 0
968.2.a.f22qโˆ’2q3โˆ’2q7+O(q8)2q - 2q^{3} - 2q^{7} + O(q^{8})
968.2.a.g22qโˆ’2q3+2q7+O(q8)2q - 2q^{3} + 2q^{7} + O(q^{8})
968.2.a.h22qโˆ’q3โˆ’q5โˆ’q7+O(q8)2q - q^{3} - q^{5} - q^{7} + O(q^{8})
968.2.a.i22qโˆ’q3โˆ’q5+q7+O(q8)2q - q^{3} - q^{5} + q^{7} + O(q^{8})
968.2.a.j22q+q3+3q5+2q7+O(q8)2q + q^{3} + 3q^{5} + 2q^{7} + O(q^{8})
968.2.a.k22q+2q3โˆ’4q5โˆ’2q7+O(q8)2q + 2q^{3} - 4q^{5} - 2q^{7} + O(q^{8})
968.2.a.l22q+2q3โˆ’4q5+2q7+O(q8)2q + 2q^{3} - 4q^{5} + 2q^{7} + O(q^{8})
968.2.a.m44q+2q3+q5โˆ’q7+O(q8)4q + 2q^{3} + q^{5} - q^{7} + O(q^{8})
968.2.a.n44q+2q3+q5+q7+O(q8)4q + 2q^{3} + q^{5} + q^{7} + O(q^{8})
969.2.a.a1q+q2+q3โˆ’q4+2q5+q6+2q7+O(q8)q + q^{2} + q^{3} - q^{4} + 2q^{5} + q^{6} + 2q^{7} + O(q^{8})+1+1969a1 rank 0
969.2.a.b22q+2q2+2q3+2q4+2q5+2q6+2q7+O(q8)2q + 2q^{2} + 2q^{3} + 2q^{4} + 2q^{5} + 2q^{6} + 2q^{7} + O(q^{8})+1+1
969.2.a.c44qโˆ’3q2+4q3+3q4โˆ’6q5โˆ’3q6โˆ’5q7+O(q8)4q - 3q^{2} + 4q^{3} + 3q^{4} - 6q^{5} - 3q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
969.2.a.d44qโˆ’q2โˆ’4q3โˆ’q4+4q5+q6โˆ’3q7+O(q8)4q - q^{2} - 4q^{3} - q^{4} + 4q^{5} + q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
969.2.a.e44q+q2+4q3+11q4+4q5+q6+3q7+O(q8)4q + q^{2} + 4q^{3} + 11q^{4} + 4q^{5} + q^{6} + 3q^{7} + O(q^{8})+1+1
969.2.a.f55qโˆ’2q2+5q3+6q4โˆ’8q5โˆ’2q6โˆ’5q7+O(q8)5q - 2q^{2} + 5q^{3} + 6q^{4} - 8q^{5} - 2q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
969.2.a.g55q+2q2โˆ’5q3+2q4+2q5โˆ’2q6โˆ’7q7+O(q8)5q + 2q^{2} - 5q^{3} + 2q^{4} + 2q^{5} - 2q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
969.2.a.h77qโˆ’7q3+8q4โˆ’6q5+9q7+O(q8)7q - 7q^{3} + 8q^{4} - 6q^{5} + 9q^{7} + O(q^{8})+1+1
969.2.a.i77q+4q2+7q3+8q4+4q5+4q6+3q7+O(q8)7q + 4q^{2} + 7q^{3} + 8q^{4} + 4q^{5} + 4q^{6} + 3q^{7} + O(q^{8})+1+1
969.2.a.j88q+q2โˆ’8q3+11q4โˆ’4q5โˆ’q6+9q7+O(q8)8q + q^{2} - 8q^{3} + 11q^{4} - 4q^{5} - q^{6} + 9q^{7} + O(q^{8})+1+1
970.2.a.a1qโˆ’q2โˆ’2q3+q4โˆ’q5+2q6+O(q8)q - q^{2} - 2q^{3} + q^{4} - q^{5} + 2q^{6} + O(q^{8})+1+1970a1 rank 0
970.2.a.b1q+q2โˆ’2q3+q4+q5โˆ’2q6โˆ’4q7+O(q8)q + q^{2} - 2q^{3} + q^{4} + q^{5} - 2q^{6} - 4q^{7} + O(q^{8})+1+1970b1 rank 0
970.2.a.c22q+2q2โˆ’3q3+2q4+2q5โˆ’3q6โˆ’4q7+O(q8)2q + 2q^{2} - 3q^{3} + 2q^{4} + 2q^{5} - 3q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
970.2.a.d22q+2q2โˆ’q3+2q4โˆ’2q5โˆ’q6โˆ’2q7+O(q8)2q + 2q^{2} - q^{3} + 2q^{4} - 2q^{5} - q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
970.2.a.e33qโˆ’3q2+3q3+3q4โˆ’3q5โˆ’3q6โˆ’4q7+O(q8)3q - 3q^{2} + 3q^{3} + 3q^{4} - 3q^{5} - 3q^{6} - 4q^{7} + O(q^{8})+1+1
970.2.a.f33qโˆ’3q2+3q3+3q4+3q5โˆ’3q6+O(q8)3q - 3q^{2} + 3q^{3} + 3q^{4} + 3q^{5} - 3q^{6} + O(q^{8})+1+1
970.2.a.g44qโˆ’4q2+4q4โˆ’4q5+2q7+O(q8)4q - 4q^{2} + 4q^{4} - 4q^{5} + 2q^{7} + O(q^{8})โˆ’1-1
970.2.a.h55qโˆ’5q2โˆ’6q3+5q4+5q5+6q6โˆ’6q7+O(q8)5q - 5q^{2} - 6q^{3} + 5q^{4} + 5q^{5} + 6q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
970.2.a.i55q+5q2+5q4โˆ’5q5+2q7+O(q8)5q + 5q^{2} + 5q^{4} - 5q^{5} + 2q^{7} + O(q^{8})+1+1
970.2.a.j55q+5q2+4q3+5q4+5q5+4q6+8q7+O(q8)5q + 5q^{2} + 4q^{3} + 5q^{4} + 5q^{5} + 4q^{6} + 8q^{7} + O(q^{8})+1+1
971.2.a.a2626qโˆ’4q2โˆ’6q3+8q4โˆ’6q5โˆ’7q6โˆ’12q7+O(q8)26q - 4q^{2} - 6q^{3} + 8q^{4} - 6q^{5} - 7q^{6} - 12q^{7} + O(q^{8})โˆ’1-1
971.2.a.b5555q+4q2+4q3+76q4+8q5+9q6+14q7+O(q8)55q + 4q^{2} + 4q^{3} + 76q^{4} + 8q^{5} + 9q^{6} + 14q^{7} + O(q^{8})+1+1
972.2.a.a1qโˆ’4q7+O(q8)q - 4q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})972d1 rank 1
972.2.a.b1qโˆ’q7+O(q8)q - q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})972c1 rank 1

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